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Soft suppression of traveling localized vibrations in medium-length thin sandwich-like cylindrical shells containing magnetorheological layers via nonstationary magnetic field

  • Gennadi Mikhasev*
  • , Ihnat Mlechka
  • , Holm Altenbach
  • *Corresponding author for this work
  • Belarusian State University
  • Otto von Guericke University Magdeburg

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A medium length thin laminated cylindrical shell composed by embedding magnetorheological elastomers (MREs) between elastic layers is the subject of this investigation. Physical properties of MREs are assumed to be functions of the magnetic field induction. Differential equations with complex coefficients depending upon the magnetic field and based on experimental data for MREs are used as the governing ones. The shell is subjected to perturbations in their surface so that the initial displacements and velocities are localized in a neighborhood of some generatrix. The problem is to study the response of the MRE-based shell to the initial localized perturbations and the applied time-dependent magnetic field. The asymptotic solution of the initial boundary value problem for the governing equations is constructed by superimposing families of localized bending waves running in the circumferential direction. It is shown that applying the time-dependent magnetic field result in soft suppression of running waves.

Original languageEnglish
Title of host publicationDynamical Systems
Subtitle of host publicationTheoretical and Experimental Analysis
EditorsJan Awrejcewicz
PublisherSpringer New York LLC
Pages241-260
Number of pages20
ISBN (Print)9783319424071
DOIs
StatePublished - 2016
Externally publishedYes
EventInternational Conference on Dynamical Systems: Theory and Applications, DSTA 2015 - Lodz, Poland
Duration: 7 Dec 201510 Dec 2015

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume182
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

ConferenceInternational Conference on Dynamical Systems: Theory and Applications, DSTA 2015
Country/TerritoryPoland
CityLodz
Period7/12/1510/12/15

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